Simplify Fractions (easy) (7) Worksheet - Free Printable

To solve the problem of simplifying each fraction to its lowest terms, we need to find the greatest common divisor (GCD) of the numerator and the denominator for each fraction and then divide both the numerator and the denominator by this GCD. Let's go through each fraction step by step.

General Steps:

1. Identify the numerator and the denominator.
2. Find the GCD of the numerator and the denominator.
3. Divide both the numerator and the denominator by the GCD.
4. Write the simplified fraction.

Solutions:

#### 1. $\frac{50}{60}$
- GCD of 50 and 60 is 10.
- Simplify: $\frac{50 \div 10}{60 \div 10} = \frac{5}{6}$

#### 2. $\frac{7}{14}$
- GCD of 7 and 14 is 7.
- Simplify: $\frac{7 \div 7}{14 \div 7} = \frac{1}{2}$

#### 3. $\frac{50}{120}$
- GCD of 50 and 120 is 10.
- Simplify: $\frac{50 \div 10}{120 \div 10} = \frac{5}{12}$

#### 4. $\frac{66}{72}$
- GCD of 66 and 72 is 6.
- Simplify: $\frac{66 \div 6}{72 \div 6} = \frac{11}{12}$

#### 5. $\frac{12}{28}$
- GCD of 12 and 28 is 4.
- Simplify: $\frac{12 \div 4}{28 \div 4} = \frac{3}{7}$

#### 6. $\frac{21}{77}$
- GCD of 21 and 77 is 7.
- Simplify: $\frac{21 \div 7}{77 \div 7} = \frac{3}{11}$

#### 7. $\frac{5}{45}$
- GCD of 5 and 45 is 5.
- Simplify: $\frac{5 \div 5}{45 \div 5} = \frac{1}{9}$

#### 8. $\frac{15}{20}$
- GCD of 15 and 20 is 5.
- Simplify: $\frac{15 \div 5}{20 \div 5} = \frac{3}{4}$

#### 9. $\frac{8}{64}$
- GCD of 8 and 64 is 8.
- Simplify: $\frac{8 \div 8}{64 \div 8} = \frac{1}{8}$

#### 10. $\frac{10}{12}$
- GCD of 10 and 12 is 2.
- Simplify: $\frac{10 \div 2}{12 \div 2} = \frac{5}{6}$

#### 11. $\frac{14}{18}$
- GCD of 14 and 18 is 2.
- Simplify: $\frac{14 \div 2}{18 \div 2} = \frac{7}{9}$

#### 12. $\frac{27}{90}$
- GCD of 27 and 90 is 9.
- Simplify: $\frac{27 \div 9}{90 \div 9} = \frac{3}{10}$

#### 13. $\frac{7}{35}$
- GCD of 7 and 35 is 7.
- Simplify: $\frac{7 \div 7}{35 \div 7} = \frac{1}{5}$

#### 14. $\frac{21}{56}$
- GCD of 21 and 56 is 7.
- Simplify: $\frac{21 \div 7}{56 \div 7} = \frac{3}{8}$

#### 15. $\frac{18}{42}$
- GCD of 18 and 42 is 6.
- Simplify: $\frac{18 \div 6}{42 \div 6} = \frac{3}{7}$

#### 16. $\frac{35}{56}$
- GCD of 35 and 56 is 7.
- Simplify: $\frac{35 \div 7}{56 \div 7} = \frac{5}{8}$

#### 17. $\frac{20}{32}$
- GCD of 20 and 32 is 4.
- Simplify: $\frac{20 \div 4}{32 \div 4} = \frac{5}{8}$

#### 18. $\frac{50}{90}$
- GCD of 50 and 90 is 10.
- Simplify: $\frac{50 \div 10}{90 \div 10} = \frac{5}{9}$

#### 19. $\frac{6}{16}$
- GCD of 6 and 16 is 2.
- Simplify: $\frac{6 \div 2}{16 \div 2} = \frac{3}{8}$

#### 20. $\frac{42}{48}$
- GCD of 42 and 48 is 6.
- Simplify: $\frac{42 \div 6}{48 \div 6} = \frac{7}{8}$

#### 21. $\frac{42}{66}$
- GCD of 42 and 66 is 6.
- Simplify: $\frac{42 \div 6}{66 \div 6} = \frac{7}{11}$

#### 22. $\frac{4}{14}$
- GCD of 4 and 14 is 2.
- Simplify: $\frac{4 \div 2}{14 \div 2} = \frac{2}{7}$

#### 23. $\frac{55}{60}$
- GCD of 55 and 60 is 5.
- Simplify: $\frac{55 \div 5}{60 \div 5} = \frac{11}{12}$

#### 24. $\frac{3}{6}$
- GCD of 3 and 6 is 3.
- Simplify: $\frac{3 \div 3}{6 \div 3} = \frac{1}{2}$

#### 25. $\frac{42}{49}$
- GCD of 42 and 49 is 7.
- Simplify: $\frac{42 \div 7}{49 \div 7} = \frac{6}{7}$

#### 26. $\frac{6}{10}$
- GCD of 6 and 10 is 2.
- Simplify: $\frac{6 \div 2}{10 \div 2} = \frac{3}{5}$

#### 27. $\frac{6}{36}$
- GCD of 6 and 36 is 6.
- Simplify: $\frac{6 \div 6}{36 \div 6} = \frac{1}{6}$

#### 28. $\frac{36}{81}$
- GCD of 36 and 81 is 9.
- Simplify: $\frac{36 \div 9}{81 \div 9} = \frac{4}{9}$

#### 29. $\frac{2}{24}$
- GCD of 2 and 24 is 2.
- Simplify: $\frac{2 \div 2}{24 \div 2} = \frac{1}{12}$

#### 30. $\frac{35}{60}$
- GCD of 35 and 60 is 5.
- Simplify: $\frac{35 \div 5}{60 \div 5} = \frac{7}{12}$

#### 31. $\frac{20}{30}$
- GCD of 20 and 30 is 10.
- Simplify: $\frac{20 \div 10}{30 \div 10} = \frac{2}{3}$

#### 32. $\frac{30}{40}$
- GCD of 30 and 40 is 10.
- Simplify: $\frac{30 \div 10}{40 \div 10} = \frac{3}{4}$

#### 33. $\frac{15}{33}$
- GCD of 15 and 33 is 3.
- Simplify: $\frac{15 \div 3}{33 \div 3} = \frac{5}{11}$

#### 34. $\frac{12}{14}$
- GCD of 12 and 14 is 2.
- Simplify: $\frac{12 \div 2}{14 \div 2} = \frac{6}{7}$

#### 35. $\frac{6}{20}$
- GCD of 6 and 20 is 2.
- Simplify: $\frac{6 \div 2}{20 \div 2} = \frac{3}{10}$

#### 36. $\frac{18}{27}$
- GCD of 18 and 27 is 9.
- Simplify: $\frac{18 \div 9}{27 \div 9} = \frac{2}{3}$

#### 37. $\frac{42}{66}$
- GCD of 42 and 66 is 6.
- Simplify: $\frac{42 \div 6}{66 \div 6} = \frac{7}{11}$

#### 38. $\frac{4}{10}$
- GCD of 4 and 10 is 2.
- Simplify: $\frac{4 \div 2}{10 \div 2} = \frac{2}{5}$

#### 39. $\frac{21}{28}$
- GCD of 21 and 28 is 7.
- Simplify: $\frac{21 \div 7}{28 \div 7} = \frac{3}{4}$

#### 40. $\frac{21}{36}$
- GCD of 21 and 36 is 3.
- Simplify: $\frac{21 \div 3}{36 \div 3} = \frac{7}{12}$

Final Answer:

\[
\boxed{
\begin{array}{cccc}
1. \frac{5}{6} & 11. \frac{7}{9} & 21. \frac{7}{11} & 31. \frac{2}{3} \\
2. \frac{1}{2} & 12. \frac{3}{10} & 22. \frac{2}{7} & 32. \frac{3}{4} \\
3. \frac{5}{12} & 13. \frac{1}{5} & 23. \frac{11}{12} & 33. \frac{5}{11} \\
4. \frac{11}{12} & 14. \frac{3}{8} & 24. \frac{1}{2} & 34. \frac{6}{7} \\
5. \frac{3}{7} & 15. \frac{3}{7} & 25. \frac{6}{7} & 35. \frac{3}{10} \\
6. \frac{3}{11} & 16. \frac{5}{8} & 26. \frac{3}{5} & 36. \frac{2}{3} \\
7. \frac{1}{9} & 17. \frac{5}{8} & 27. \frac{1}{6} & 37. \frac{7}{11} \\
8. \frac{3}{4} & 18. \frac{5}{9} & 28. \frac{4}{9} & 38. \frac{2}{5} \\
9. \frac{1}{8} & 19. \frac{3}{8} & 29. \frac{1}{12} & 39. \frac{3}{4} \\
10. \frac{5}{6} & 20. \frac{7}{8} & 30. \frac{7}{12} & 40. \frac{7}{12} \\
\end{array}
}
\]